Greatest Common Factor of 8122/374, 3765/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8122/374, 3765/209

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8122/374,3765/209

Given fractions are 8122/374,3765/209

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8122,3765

Greatest Common Factor of Numerators i.e. GCF of 8122,3765 is 1 .

LCM of Denominators means LCM of 374,209 as per the given fractions.

LCM of 374,209 is 7106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8122,3765

GCF of Fractions 8122/374,3765/209 is 1/7106

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8122,3765 By Matching Biggest Common Factor Method

Greatest Common Factor of 8122,3765 By Matching Biggest Common Factor Method

Factors of 8122

List of positive integer factors of 8122 that divides 8122 without a remainder.

1,2,31,62,131,262,4061,8122

Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1,3,5,15,251,753,1255,3765

Greatest Common Factor

We found the factors 8122,3765 . The biggest common factor number is the GCF number.
So the greatest common factor 8122,3765 is 1.

Lets's calculate LCM of 374,209

11 374, 209
34, 19

∴ So the LCM of the given numbers is 11 x 34 x 19 = 7106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7106

Therefore, the GCF of Fractions 8122/374,3765/209 is 1/7106

Least Common Multiple of 374,209 with GCF Formula

Least Common Multiple of 374,209 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 374,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,209) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(374,209) x common factors =11 x 1 = 11

LCM(374,209) = ( 374 × 209 ) / 11

LCM(374,209) = 78166 / 11

LCM(374,209) = 7106


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8122/374, 3765/209

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8122/374, 3765/209?

Answer: GCF of Numerators as per given numbers 8122/374, 3765/209 is

GCF of Numerators i.e. for 8122,3765 is 1

LCM of denominators i.e. for 374,209 is 7106.

Thus, GCF of Fractions is 1/7106.Finally, GCF of Fractions for 8122/374, 3765/209 is 1/7106.